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216700742544 = 243111358753783
BaseRepresentation
bin1100100111010001011…
…1101110101110010000
3202201100020200022100120
43021310113232232100
512022300342230134
6243315000550240
721441021630336
oct3116427565620
9681306608316
10216700742544
11839a1a13270
1235bb8782380
1317586314760
14a6ba141b56
155984737649
hex32745eeb90

216700742544 has 160 divisors (see below), whose sum is σ = 658811833344. Its totient is φ = 60511203840.

The previous prime is 216700742497. The next prime is 216700742549. The reversal of 216700742544 is 445247007612.

It is a junction number, because it is equal to n+sod(n) for n = 216700742496 and 216700742505.

It is not an unprimeable number, because it can be changed into a prime (216700742549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4002277 + ... + 4056059.

Almost surely, 2216700742544 is an apocalyptic number.

216700742544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216700742544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329405916672).

216700742544 is an abundant number, since it is smaller than the sum of its proper divisors (442111090800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216700742544 is a wasteful number, since it uses less digits than its factorization.

216700742544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54405 (or 54399 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 216700742544 in words is "two hundred sixteen billion, seven hundred million, seven hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 587 624 858 1144 1174 1716 1761 2288 2348 3432 3522 4696 6457 6864 7044 7631 9392 12914 14088 15262 19371 22893 25828 28176 30524 38742 45786 51656 53783 61048 77484 83941 91572 103312 107566 122096 154968 161349 167882 183144 215132 251823 309936 322698 335764 366288 430264 503646 591613 645396 671528 699179 860528 1007292 1183226 1290792 1343056 1398358 1774839 2014584 2097537 2366452 2581584 2796716 3549678 4029168 4195074 4732904 5593432 7099356 7690969 8390148 9465808 11186864 14198712 15381938 16780296 23072907 28397424 30763876 31570621 33560592 46145814 61527752 63141242 92291628 94711863 123055504 126282484 184583256 189423726 252564968 347276831 369166512 378847452 410418073 505129936 694553662 757694904 820836146 1041830493 1231254219 1389107324 1515389808 1641672292 2083660986 2462508438 2778214648 3283344584 4167321972 4514598803 4925016876 5556429296 6566689168 8334643944 9029197606 9850033752 13543796409 16669287888 18058395212 19700067504 27087592818 36116790424 54175185636 72233580848 108350371272 216700742544